The ratio of money in terry's bank account to faye's bank account was 3: 7. terry then put £220 in his account and faye withdrew £300 from her account. they now had the same amount in their accounts. how much did faye initially have?

£910

Step-by-step explanation:

let 3x and 7x be the initial amounts in their accounts, then after alterations

Terry has 3x + 220

Faye has 7x - 300

After these changes the amounts are equal, hence

7x - 300 = 3x + 220 ( subtract 3x from both sides )

4x - 300 = 220 ( add 300 to both sides )

4x = 520 ( divide both sides by 4 )

x = 130

Faye initially had 7 × £130 = £910 in her account

you can get the answer by measuring it by the half circle shape of substance in geometry box